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Finding the Fourth Proportional to 3,485.46, 5,228.10 and 1,145.46

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Solution

The fourth proportional to 3,485.46, 5,228.10 and 1,145.46 is: 1,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.46 : 5,228.10 = 1,145.46 : x
  2. Step 2: Convert to fraction form
    3,485.46/5,228.10 = 1,145.46/x
  3. Step 3: Cross multiply
    3,485.46x = 5,228.10 × 1,145.46
  4. Step 4: Simplify right side
    3,485.46x = 5,988,579.43
  5. Step 5: Solve for x
    x = 5,988,579.43/3,485.46
  6. Step 6: Final answer
    x = 1,718.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.